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 November 6th, 2017, 10:50 AM #1 Newbie   Joined: Nov 2017 From: Latvia Posts: 2 Thanks: 0 I need help for a probability question Let A, B be two events in a probability space. The probability that A happens is 1/2 The probability that B happens is 1/2 The probability that none of the events happen is 1/2 Compute the conditional probability P[A | B]. Are A and B independent?
 November 6th, 2017, 12:38 PM #2 Global Moderator   Joined: May 2007 Posts: 6,613 Thanks: 617 If they were independent the probability of none happening is 1/4=(1-P(A))(1-P(B)), so they are not independent. P(A or B)=1-P(none)=1/2 P(A or B)=P(A)+P(B)-P(A and B) Therefore P(A and B)=1/2 leading to P(A|B)=1.

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